Nov 7 – 11, 2022
Kongresshaus Baden-Baden
Europe/Berlin timezone

Modified Dirac equation in schwarzschild metric

Nov 8, 2022, 4:30 PM
15m
Sitzungsraum 10

Sitzungsraum 10

Speaker

Ms Tara Hassanzadeh (Amirkabir University of Technology)

Description

Heisenberg’s uncertainty principle at the Planck scale leads
to extensions of Dirac equations. In this paper, the generalized uncertainty problem
(GUP) theory is used as an extension of the Dirac equation with the mass term
m_1+iγ^5 m_2 (tachyonic) in the Schwarzschild metric. Its eigenvalue problem for
a particle in a gravitational field created by a central mass is also solved. The
fundamental spinor solution for the tachyonic Dirac equation is found on a helicity
basis. This study shows that it is impossible with current theories to formulate a
covariant equation that could be repulsed by gravity in the framework of space-like
particles.

Primary author

Ms Tara Hassanzadeh (Amirkabir University of Technology)

Presentation materials